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Finding the Fourth Proportional to 2,378.01, 3,281.14 and 1,382.78

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Solution

The fourth proportional to 2,378.01, 3,281.14 and 1,382.78 is: 1,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.01 : 3,281.14 = 1,382.78 : x
  2. Step 2: Convert to fraction form
    2,378.01/3,281.14 = 1,382.78/x
  3. Step 3: Cross multiply
    2,378.01x = 3,281.14 × 1,382.78
  4. Step 4: Simplify right side
    2,378.01x = 4,537,094.77
  5. Step 5: Solve for x
    x = 4,537,094.77/2,378.01
  6. Step 6: Final answer
    x = 1,907.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.